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<div class="title">SymbolicIndex.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2017 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_SYMBOLIC_INDEX_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define EIGEN_SYMBOLIC_INDEX_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &quot;../InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> {</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="keyword">namespace </span>symbolic {</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160; </div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Tag&gt; <span class="keyword">class </span>Symbol;</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Arg0&gt; <span class="keyword">class </span>NegateExpr;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Arg1,<span class="keyword">typename</span> Arg2&gt; <span class="keyword">class </span>AddExpr;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Arg1,<span class="keyword">typename</span> Arg2&gt; <span class="keyword">class </span>ProductExpr;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Arg1,<span class="keyword">typename</span> Arg2&gt; <span class="keyword">class </span>QuotientExpr;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160; </div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment">// A simple wrapper around an integral value to provide the eval method.</span></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="comment">// We could also use a free-function symbolic_eval...</span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> IndexType=Index&gt;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="keyword">class </span>ValueExpr {</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  ValueExpr(IndexType val) : m_value(val) {}</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  IndexType eval_impl(<span class="keyword">const</span> T&amp;)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value; }</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  IndexType m_value;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;};</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160; </div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="comment">// Specialization for compile-time value,</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="comment">// It is similar to ValueExpr(N) but this version helps the compiler to generate better code.</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="keyword">class </span>ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; {</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  ValueExpr() {}</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  EIGEN_CONSTEXPR <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> eval_impl(<span class="keyword">const</span> T&amp;)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> N; }</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;};</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160; </div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160; </div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classEigen_1_1symbolic_1_1BaseExpr.html">   78</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1symbolic_1_1BaseExpr.html">BaseExpr</a></div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;{</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  <span class="keyword">const</span> Derived&amp; derived()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> *<span class="keyword">static_cast&lt;</span><span class="keyword">const </span>Derived*<span class="keyword">&gt;</span>(<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160; </div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="classEigen_1_1symbolic_1_1BaseExpr.html#a4149f50157823063e59c18ce04ed2496">   90</a></span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> <a class="code" href="classEigen_1_1symbolic_1_1BaseExpr.html#a4149f50157823063e59c18ce04ed2496">eval</a>(<span class="keyword">const</span> T&amp; values)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> derived().eval_impl(values); }</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160; </div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>... Types&gt;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> <a class="code" href="classEigen_1_1symbolic_1_1BaseExpr.html#a4149f50157823063e59c18ce04ed2496">eval</a>(Types&amp;&amp;... values)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> derived().eval_impl(std::make_tuple(values...)); }</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  NegateExpr&lt;Derived&gt; operator-()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> NegateExpr&lt;Derived&gt;(derived()); }</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  AddExpr&lt;Derived,ValueExpr&lt;&gt; &gt; operator+(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> AddExpr&lt;Derived,ValueExpr&lt;&gt; &gt;(derived(),  b); }</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;  AddExpr&lt;Derived,ValueExpr&lt;&gt; &gt; operator-(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> AddExpr&lt;Derived,ValueExpr&lt;&gt; &gt;(derived(), -a); }</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  ProductExpr&lt;Derived,ValueExpr&lt;&gt; &gt; operator*(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> ProductExpr&lt;Derived,ValueExpr&lt;&gt; &gt;(derived(),a); }</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  QuotientExpr&lt;Derived,ValueExpr&lt;&gt; &gt; operator/(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> QuotientExpr&lt;Derived,ValueExpr&lt;&gt; &gt;(derived(),a); }</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  <span class="keyword">friend</span> AddExpr&lt;Derived,ValueExpr&lt;&gt; &gt; operator+(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> a, <span class="keyword">const</span> BaseExpr&amp; b)</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  { <span class="keywordflow">return</span> AddExpr&lt;Derived,ValueExpr&lt;&gt; &gt;(b.derived(), a); }</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  <span class="keyword">friend</span> AddExpr&lt;NegateExpr&lt;Derived&gt;,ValueExpr&lt;&gt; &gt; operator-(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> a, <span class="keyword">const</span> BaseExpr&amp; b)</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  { <span class="keywordflow">return</span> AddExpr&lt;NegateExpr&lt;Derived&gt;,ValueExpr&lt;&gt; &gt;(-b.derived(), a); }</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  <span class="keyword">friend</span> ProductExpr&lt;ValueExpr&lt;&gt;,Derived&gt; operator*(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> a, <span class="keyword">const</span> BaseExpr&amp; b)</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  { <span class="keywordflow">return</span> ProductExpr&lt;ValueExpr&lt;&gt;,Derived&gt;(a,b.derived()); }</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  <span class="keyword">friend</span> QuotientExpr&lt;ValueExpr&lt;&gt;,Derived&gt; operator/(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> a, <span class="keyword">const</span> BaseExpr&amp; b)</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  { <span class="keywordflow">return</span> QuotientExpr&lt;ValueExpr&lt;&gt;,Derived&gt;(a,b.derived()); }</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160; </div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  AddExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt; operator+(internal::FixedInt&lt;N&gt;)<span class="keyword"> const</span></div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> AddExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt;(derived(), ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;()); }</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;  AddExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;-N&gt; &gt; &gt; operator-(internal::FixedInt&lt;N&gt;)<span class="keyword"> const</span></div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> AddExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;-N&gt; &gt; &gt;(derived(), ValueExpr&lt;internal::FixedInt&lt;-N&gt; &gt;()); }</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  ProductExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt; operator*(internal::FixedInt&lt;N&gt;)<span class="keyword"> const</span></div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> ProductExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt;(derived(),ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;()); }</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  QuotientExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt; operator/(internal::FixedInt&lt;N&gt;)<span class="keyword"> const</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> QuotientExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt;(derived(),ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;()); }</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160; </div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  <span class="keyword">friend</span> AddExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt; operator+(internal::FixedInt&lt;N&gt;, <span class="keyword">const</span> BaseExpr&amp; b)</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  { <span class="keywordflow">return</span> AddExpr&lt;Derived,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt;(b.derived(), ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;()); }</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  <span class="keyword">friend</span> AddExpr&lt;NegateExpr&lt;Derived&gt;,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt; operator-(internal::FixedInt&lt;N&gt;, <span class="keyword">const</span> BaseExpr&amp; b)</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;  { <span class="keywordflow">return</span> AddExpr&lt;NegateExpr&lt;Derived&gt;,ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; &gt;(-b.derived(), ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;()); }</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  <span class="keyword">friend</span> ProductExpr&lt;ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;,Derived&gt; operator*(internal::FixedInt&lt;N&gt;, <span class="keyword">const</span> BaseExpr&amp; b)</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  { <span class="keywordflow">return</span> ProductExpr&lt;ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;,Derived&gt;(ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;(),b.derived()); }</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  <span class="keyword">friend</span> QuotientExpr&lt;ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;,Derived&gt; operator/(internal::FixedInt&lt;N&gt;, <span class="keyword">const</span> BaseExpr&amp; b)</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  { <span class="keywordflow">return</span> QuotientExpr&lt;ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt; ,Derived&gt;(ValueExpr&lt;internal::FixedInt&lt;N&gt; &gt;(),b.derived()); }</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160; </div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160; </div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;  AddExpr&lt;Derived,OtherDerived&gt; operator+(<span class="keyword">const</span> BaseExpr&lt;OtherDerived&gt; &amp;b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> AddExpr&lt;Derived,OtherDerived&gt;(derived(),  b.derived()); }</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160; </div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  AddExpr&lt;Derived,NegateExpr&lt;OtherDerived&gt; &gt; operator-(<span class="keyword">const</span> BaseExpr&lt;OtherDerived&gt; &amp;b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> AddExpr&lt;Derived,NegateExpr&lt;OtherDerived&gt; &gt;(derived(), -b.derived()); }</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160; </div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  ProductExpr&lt;Derived,OtherDerived&gt; operator*(<span class="keyword">const</span> BaseExpr&lt;OtherDerived&gt; &amp;b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> ProductExpr&lt;Derived,OtherDerived&gt;(derived(), b.derived()); }</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160; </div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;  QuotientExpr&lt;Derived,OtherDerived&gt; operator/(<span class="keyword">const</span> BaseExpr&lt;OtherDerived&gt; &amp;b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> QuotientExpr&lt;Derived,OtherDerived&gt;(derived(), b.derived()); }</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;};</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160; </div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;<span class="keyword">struct </span>is_symbolic {</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  <span class="comment">// BaseExpr has no conversion ctor, so we only have to check whether T can be statically cast to its base class BaseExpr&lt;T&gt;.</span></div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;  <span class="keyword">enum</span> { value = internal::is_convertible&lt;T,BaseExpr&lt;T&gt; &gt;::value };</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;};</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160; </div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Tag&gt;</div>
<div class="line"><a name="l00170"></a><span class="lineno"><a class="line" href="classEigen_1_1symbolic_1_1SymbolValue.html">  170</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1symbolic_1_1SymbolValue.html">SymbolValue</a></div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;{</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="classEigen_1_1symbolic_1_1SymbolValue.html#a2db2a280f108f3253e4f21858a2d14ca">  174</a></span>&#160;  <a class="code" href="classEigen_1_1symbolic_1_1SymbolValue.html#a2db2a280f108f3253e4f21858a2d14ca">SymbolValue</a>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> val) : m_value(val) {}</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160; </div>
<div class="line"><a name="l00177"></a><span class="lineno"><a class="line" href="classEigen_1_1symbolic_1_1SymbolValue.html#a8f87badf23a7d5e32145c9ea08aaa300">  177</a></span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> <a class="code" href="classEigen_1_1symbolic_1_1SymbolValue.html#a8f87badf23a7d5e32145c9ea08aaa300">value</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value; }</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> m_value;</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;};</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160; </div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> tag&gt;</div>
<div class="line"><a name="l00184"></a><span class="lineno"><a class="line" href="classEigen_1_1symbolic_1_1SymbolExpr.html">  184</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1symbolic_1_1SymbolExpr.html">SymbolExpr</a> : <span class="keyword">public</span> <a class="code" href="classEigen_1_1symbolic_1_1BaseExpr.html">BaseExpr</a>&lt;SymbolExpr&lt;tag&gt; &gt;</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;{</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00188"></a><span class="lineno"><a class="line" href="classEigen_1_1symbolic_1_1SymbolExpr.html#af2c04ad1ee1251a2d540f0d804da4c68">  188</a></span>&#160;  <span class="keyword">typedef</span> tag <a class="code" href="classEigen_1_1symbolic_1_1SymbolExpr.html#af2c04ad1ee1251a2d540f0d804da4c68">Tag</a>;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160; </div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;  <a class="code" href="classEigen_1_1symbolic_1_1SymbolExpr.html">SymbolExpr</a>() {}</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160; </div>
<div class="line"><a name="l00196"></a><span class="lineno"><a class="line" href="classEigen_1_1symbolic_1_1SymbolExpr.html#a0bd43167911dc398fba4e3f0f142a64d">  196</a></span>&#160;  <a class="code" href="classEigen_1_1symbolic_1_1SymbolValue.html">SymbolValue&lt;Tag&gt;</a> <a class="code" href="classEigen_1_1symbolic_1_1SymbolExpr.html#a0bd43167911dc398fba4e3f0f142a64d">operator=</a>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> val)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1symbolic_1_1SymbolValue.html">SymbolValue&lt;Tag&gt;</a>(val);</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;  }</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160; </div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> eval_impl(<span class="keyword">const</span> <a class="code" href="classEigen_1_1symbolic_1_1SymbolValue.html">SymbolValue&lt;Tag&gt;</a> &amp;values)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> values.<a class="code" href="classEigen_1_1symbolic_1_1SymbolValue.html#a8f87badf23a7d5e32145c9ea08aaa300">value</a>(); }</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160; </div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;  <span class="comment">// C++14 versions suitable for multiple symbols</span></div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span>... Types&gt;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> eval_impl(<span class="keyword">const</span> std::tuple&lt;Types...&gt;&amp; values)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> std::get&lt;SymbolValue&lt;Tag&gt; &gt;(values).value(); }</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;};</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160; </div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Arg0&gt;</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;<span class="keyword">class </span>NegateExpr : <span class="keyword">public</span> BaseExpr&lt;NegateExpr&lt;Arg0&gt; &gt;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;{</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;  NegateExpr(<span class="keyword">const</span> Arg0&amp; arg0) : m_arg0(arg0) {}</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160; </div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> eval_impl(<span class="keyword">const</span> T&amp; values)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> -m_arg0.eval_impl(values); }</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;  Arg0 m_arg0;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;};</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160; </div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Arg0, <span class="keyword">typename</span> Arg1&gt;</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;<span class="keyword">class </span>AddExpr : <span class="keyword">public</span> BaseExpr&lt;AddExpr&lt;Arg0,Arg1&gt; &gt;</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;{</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;  AddExpr(<span class="keyword">const</span> Arg0&amp; arg0, <span class="keyword">const</span> Arg1&amp; arg1) : m_arg0(arg0), m_arg1(arg1) {}</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160; </div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> eval_impl(<span class="keyword">const</span> T&amp; values)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_arg0.eval_impl(values) + m_arg1.eval_impl(values); }</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  Arg0 m_arg0;</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;  Arg1 m_arg1;</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;};</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Arg0, <span class="keyword">typename</span> Arg1&gt;</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;<span class="keyword">class </span>ProductExpr : <span class="keyword">public</span> BaseExpr&lt;ProductExpr&lt;Arg0,Arg1&gt; &gt;</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;{</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  ProductExpr(<span class="keyword">const</span> Arg0&amp; arg0, <span class="keyword">const</span> Arg1&amp; arg1) : m_arg0(arg0), m_arg1(arg1) {}</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160; </div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> eval_impl(<span class="keyword">const</span> T&amp; values)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_arg0.eval_impl(values) * m_arg1.eval_impl(values); }</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;  Arg0 m_arg0;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;  Arg1 m_arg1;</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;};</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160; </div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Arg0, <span class="keyword">typename</span> Arg1&gt;</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="keyword">class </span>QuotientExpr : <span class="keyword">public</span> BaseExpr&lt;QuotientExpr&lt;Arg0,Arg1&gt; &gt;</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;{</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;  QuotientExpr(<span class="keyword">const</span> Arg0&amp; arg0, <span class="keyword">const</span> Arg1&amp; arg1) : m_arg0(arg0), m_arg1(arg1) {}</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160; </div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> eval_impl(<span class="keyword">const</span> T&amp; values)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_arg0.eval_impl(values) / m_arg1.eval_impl(values); }</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;  Arg0 m_arg0;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;  Arg1 m_arg1;</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;};</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160; </div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;} <span class="comment">// end namespace symbolic</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160; </div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160; </div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_SYMBOLIC_INDEX_H</span></div>
<div class="ttc" id="aclassEigen_1_1symbolic_1_1BaseExpr_html"><div class="ttname"><a href="classEigen_1_1symbolic_1_1BaseExpr.html">Eigen::symbolic::BaseExpr</a></div><div class="ttdef"><b>Definition:</b> SymbolicIndex.h:79</div></div>
<div class="ttc" id="aclassEigen_1_1symbolic_1_1BaseExpr_html_a4149f50157823063e59c18ce04ed2496"><div class="ttname"><a href="classEigen_1_1symbolic_1_1BaseExpr.html#a4149f50157823063e59c18ce04ed2496">Eigen::symbolic::BaseExpr::eval</a></div><div class="ttdeci">Index eval(const T &amp;values) const</div><div class="ttdef"><b>Definition:</b> SymbolicIndex.h:90</div></div>
<div class="ttc" id="aclassEigen_1_1symbolic_1_1SymbolExpr_html"><div class="ttname"><a href="classEigen_1_1symbolic_1_1SymbolExpr.html">Eigen::symbolic::SymbolExpr</a></div><div class="ttdef"><b>Definition:</b> SymbolicIndex.h:185</div></div>
<div class="ttc" id="aclassEigen_1_1symbolic_1_1SymbolExpr_html_a0bd43167911dc398fba4e3f0f142a64d"><div class="ttname"><a href="classEigen_1_1symbolic_1_1SymbolExpr.html#a0bd43167911dc398fba4e3f0f142a64d">Eigen::symbolic::SymbolExpr::operator=</a></div><div class="ttdeci">SymbolValue&lt; Tag &gt; operator=(Index val) const</div><div class="ttdef"><b>Definition:</b> SymbolicIndex.h:196</div></div>
<div class="ttc" id="aclassEigen_1_1symbolic_1_1SymbolExpr_html_af2c04ad1ee1251a2d540f0d804da4c68"><div class="ttname"><a href="classEigen_1_1symbolic_1_1SymbolExpr.html#af2c04ad1ee1251a2d540f0d804da4c68">Eigen::symbolic::SymbolExpr::Tag</a></div><div class="ttdeci">tag Tag</div><div class="ttdef"><b>Definition:</b> SymbolicIndex.h:188</div></div>
<div class="ttc" id="aclassEigen_1_1symbolic_1_1SymbolValue_html"><div class="ttname"><a href="classEigen_1_1symbolic_1_1SymbolValue.html">Eigen::symbolic::SymbolValue</a></div><div class="ttdef"><b>Definition:</b> SymbolicIndex.h:171</div></div>
<div class="ttc" id="aclassEigen_1_1symbolic_1_1SymbolValue_html_a2db2a280f108f3253e4f21858a2d14ca"><div class="ttname"><a href="classEigen_1_1symbolic_1_1SymbolValue.html#a2db2a280f108f3253e4f21858a2d14ca">Eigen::symbolic::SymbolValue::SymbolValue</a></div><div class="ttdeci">SymbolValue(Index val)</div><div class="ttdef"><b>Definition:</b> SymbolicIndex.h:174</div></div>
<div class="ttc" id="aclassEigen_1_1symbolic_1_1SymbolValue_html_a8f87badf23a7d5e32145c9ea08aaa300"><div class="ttname"><a href="classEigen_1_1symbolic_1_1SymbolValue.html#a8f87badf23a7d5e32145c9ea08aaa300">Eigen::symbolic::SymbolValue::value</a></div><div class="ttdeci">Index value() const</div><div class="ttdef"><b>Definition:</b> SymbolicIndex.h:177</div></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div><div class="ttdef"><b>Definition:</b> Core:139</div></div>
<div class="ttc" id="anamespaceEigen_html_a62e77e0933482dafde8fe197d9a2cfde"><div class="ttname"><a href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a></div><div class="ttdeci">EIGEN_DEFAULT_DENSE_INDEX_TYPE Index</div><div class="ttdoc">The Index type as used for the API.</div><div class="ttdef"><b>Definition:</b> Meta.h:59</div></div>
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